Topic 14 DATA - Mrs. Stephanie Evans Class Website · D 20 4. Writing to Explain For one week, Consuela kept a log of the number of pages she read each night. She read 8 pages on

Topic 14

DATA

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Name

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Test Date

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Name Topic 14

Vocabulary Cards

Fold

her

e

line plot

line plot

A display of data along a number line

outlier

survey

outlier

A number in a data set that is very different from the rest of the numbers

survey

A question or questions used to gather

information

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Name

Fold

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data

frequency table

sample

data

Collected information

frequency table

A table used to show the number of times

something occurs

sample

A representative part of a larger group

Topic 14 2 of 2

Name


Daily Common Core Review14-1

1. Which fraction is the same as 0.23?

A 23 ___ 10

B 1 __ 4

C 23 ____ 100

D 23 ____ 1000

2. Roger drives steadily and travels 440 miles in eight hours. How many miles does he travel in one hour?

A 50

B 55

C 60

D 65

3. Which number is the greatest?

A 4.01

B4.0

C 3.99

D 2.7

4. Evaluate 5 3 3 2 2 3 (6 2 2).

5. What is 9,895,200 rounded to the nearest hundred thousand?

6. How many faces does a rectangular pyramid have?

7. The coldest day last week was 4ºF. The coldest day this week was 21ºF. How many degrees colder was it last week on the coldest day?

D 14•1

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Practice

14-1Line PlotsNumber of Rabbits in Each Litter

1 2 3 4 5 6 7 8 9 10 11 12

Litters/ /// //// ////

////////////

///////

//// //// /// //// /// /

1. Make a line plot of the number of rabbits in each litter.

a. Write a label at the bottom.

b. Put Xs on the number line to show the number of rabbits in a litter.

2. How many Xs are shown for 6?

3. What is the number of rabbits that appears in a litter most often?

A 3 rabbits B 4 rabbits C 5 rabbits D 6 rabbits

4. Is the 1-rabbit litter an outlier?

3 4 5 6 7 8 9 10 11 12 131 20

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Quick Check

14-1

1. Which value, if any, is an outlier?

A 20

B 3

C 1

D There are no outliers.

3.The class took a math quiz, and the scores were {9, 8, 7, 9, 6, 9, 10, 8, 5, 9, 7, 6, 9, 9, 2, 8, 10, 7}. Which score(s) were outliers?

A 10

B 2

C both 10 and 2

D There are no outliers.

2. Which value is most common?

A 1

B 3

C 5

D 20

4. WritingtoExplain For one week, Consuela kept a log of the number of pages she read each night. She read 8 pages on Monday, 11 pages on Tuesday, 10 pages on Wednesday, 7 pages on Thursday, 8 pages on Friday, 8 pages on Saturday, and 10 pages on Sunday. Create a line plot of this information. Are there any outliers in the data? Explain.

Use the line plot below to answer Exercises 1 and 2.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

x xxx

xxxx

xx

xxxx

x x

Q 14•1

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1. Use the number line to solve the problem by working backward.

Cherylannehas been delivering gifts to some friends in her apartment building. She ended up on the 2nd floor after going up 3 floors. Before that, she had come down 5 floors. On what floor did Cherylanne start?

A 4th

B 3rd

C 1st

D G (ground floor)

2. The Perez family arrived at Tia Elena’s house with 6 gallons of gas. Along the way, they first used 8 gallons and then added 10 gallons; then they used 5 gallons. How many gallons of gas did the Perez family start with? Work backward, and then solve.

A 3 gallons

B 7 gallons

C 9 gallons

D 11 gallons

3. Ginny gets out of school at 3:50 p.m. After her lunch period ends, she spends 45 minutes in math class, 60 minutes in advanced creative writing, and 40 minutes in industrial arts. At what time does her lunch period end? Work backward to solve, and then check your answer.

4. The expression (5 d) b represents the number of times Kent will have gone diving with his uncle by the end of the year. Evaluate this expression if d 12 and b 2.

5. Alejandra is continuing a dice game she started playing with her cousin yesterday. Her score at the end of today’s game is 135. When she started today’s game, she first won 15 points. Then she lost 10, won 25, won 30, and lost 20. How many points did she have at the beginning of today’s game?

D 14•2

Rock R & B Classical Alternative Country

CDs Bought

Music Bought in Class B

xxx

xxx

xxxxxx

xxxxx

x

Practice

14-2Name


Data from SurveysMs. Chen’s class took a survey on how many minutes it took each student to get to school. The results are below:

12 14 1 _ 2 5 22 18 12 12 6 3 _ 4 14 18 3 _ 4 12 5 10 1 _ 2

1. What are the highest and lowest times?

2. Make a line plot to display the data.

3. If the entire class responded to the survey,how many students are in the class?

4. What information was collected about music?

5. Use the line plot above. Which type of CDs did students buy most often?

A Alternative B Classical C Country D Rock

6. Write a survey question that might gather the following information. “In one school there are 6 sets of twins, 2 sets of triplets, and one set of quadruplets.”

Students in Ms. Chen’s Class

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Quick Check

14-2

For questions 1 through 4, use the frequency table.

Number of Hours Spent Doing Homework in a Week

Hours Students 1 1 2 3 3 11 4 9 5 4

1. How many students responded to the survey?

A 4

B 11

C 22

D 28

2. How many students spend 4 hours doing homework in a week?

A 4

B 9

C 11

D 15

3. How many students spend 2 or fewer hours on homework each week?

A 1

B 3

C 4

D 9

4. Writing to Explain Make a line plot that shows the information in the table.

Q 14•2


Name


1. Which shows the mixed numbers ordered from least to greatest?

A 1 1 _ 4 , 2 1 _ 2 , 2 3 _ 4 , 2 1 _ 8 , 2

B 1 1 _ 4 , 2 3 _ 4 , 2 1 _ 8 , 2 1 _ 2 , 2

C 1 1 _ 4 , 2, 2 1 _ 8 , 2 1 _ 2 , 2 3 _ 4

D 2 3 _ 4 , 2 1 _ 8 , 2, 1 1 _ 4 , 2 1 _ 2

2. Compare: 12 3 _ 8 12 1 _ 4 .

A >

B <

C =

D ≤

3. Which shows the fractions in order from least to greatest?

A 1 _ 2 , 5 _ 8 ,

1 _ 4 ,

3 _ 4

B 5 _ 8 , 1 _ 4 ,

1 _ 2 ,

3 _ 4

C 1 _ 4 , 1 _ 2 ,

5 _ 8 ,

3 _ 4

D 5 _ 8 , 1 _ 2 ,

1 _ 4 ,

3 _ 4

4. Explain how to compare these fractions: 3 _ 4 ,

7 _ 8 .

5. Order the following fractions and decimals from least to greatest. 1.2, 1 2 _ 3 , 1.6, 1 1 _ 8 , 1 3 _ 4

D 14•3

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Practice

14-3Making Line Plots 1. Whichstatementbestdescribes

theheightsofthegiraffesshowninthelineplot?

xx

x xxx

xx

15 16 17 18

Giraffe Heights (in feet)

A Theshortestgiraffeis161_4feettall.

B Thetallestgiraffeis171_2feettall.

C Mostofthegiraffesare17feettall.

D Therearefourgiraffesinthedataset.

2. Mariettapurchased15cucumberstomakepickles.Thelengthsofthecucumbersininchesareshowninthechart.Drawalineplottoshowthelengthsofthecucumbers.

31_2 3 31_4 31_4 31_2

33_4 31_2 31_4 31__2 33_4

31_4 31_2 3 31_4 31_4

3. Drawalineplottorepresentthedatainthetable.

Value Tally Frequency

51_4 ||| 3

63_4 || 2

71_8 |||| 5

71_2 || 2

81_4 || 2

4. Writeafrequencychartthatmatchesthedatainthelineplot.

xx

xxxxxxx

xxx

xxx

128

129

9

5. Writing to Explain Writeadescriptionofthedatainthelineplot.

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Quick Check

14-3

1. Which shows the correct line plot for the following data?

Value Tally Frequency

3 3 _ 4 || 2

4 1 _ 4 |||| 5

5 1 _ 2 || 2

5 3 _ 4 | 1

6 | 1

A

xxxxx

xx

xx

x x

3 4 5 6

B

xxxxx

xx

xxx

x

3 4 5 6

C

xxxxx

xx

xxxx

3 4 5 6

D

xxxxx

xx

xxxx

3 4 5 6

2. Marti measured the length of her turtles from nose to tail. She had the following data: 6 1 _ 2 in., 6 1 _ 2 in., 6 3 _ 4 in., 6 1 _ 8 in., 6 1 _ 2 in., 6 1 _ 8 in. Which chart best represents her data?

A Length (in inches)

Tally Frequency

6 1 _ 8 || 2

6 1 _ 2 ||| 3

6 3 _ 4 | 1

B Length (in inches)

Tally Frequency

6 1 _ 8 || 2

6 1 _ 2 || 2

6 3 _ 4 || 2

C Length (in inches)

Tally Frequency

6 1 _ 8 | 1

6 1 _ 2 ||| 3

6 3 _ 4 || 2

D Length (in inches)

Tally Frequency

6 1 _ 8 ||| 3

6 1 _ 2 || 2

6 3 _ 4 | 1

3. WritingtoExplain Draw a line plot of Marti’s data. Write a statement to describe the data.

Q 14•3

Name



1. Which shows the mixed numbers from least to greatest?

A 1 1 _ 4 , 1 1 _ 8 , 2 3 _ 8 , 2 3 _ 4

B 1 1 _ 4 , 1 1 _ 8 , 2 3 _ 4 , 2 3 _ 8

C 1 1 _ 8 , 1 1 _ 4 , 2 3 _ 8 , 2 3 __ 4

D 1 1 _ 4 , 2 3 _ 8 , 1 1 _ 8 , 2 3 _ 4

2. Compare: 5 _ 6 2 _ 3 .

A <

B >

C =

D ≤

3. Add: 3 3 _ 4 + 4 1 _ 4 + 2 1 _ 8 .

A 10 1 _ 8

B 10 5 _ 8

C 10 7 _ 8

D 11

4. Explain how to multiply 15 3 _ 4 8.

5. Explain how to find the missing number.

9 = 3 3 _ 4

D 14•4

xxxx

xxx

x

xxxxxx

xx

1 2 3

Lengths of Bandages (inches)

xxxx

xx

xxxxxxxxx

xxx

0

Lengths of Earring Posts (inches)

12

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18

38

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Practice

14-4Measurement DataArianna counted the different sized bandages in her first aid kit. She made a line plot of the data. Use this line plot to answer the questions.

1. How many bandages did Arianna count?

2. What length bandage does Arianna have the most of?

3. Write an equation to show the total length of the bandages if they are placed end-to-end.

Madison sorted the earrings in her jewelry box. The line plot shows the lengths of each post.

4. Write a statement to describe Madison’s jewelry.

5. Why do you think that there are an even number of earring posts?

6. Make an educated guess as to why most of the posts are 3 _ 8 -inch long.

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Quick Check

14-4

A nonprofit bird of prey rescue group has 8 falcons in their care. The line plot shows the wingspan of the birds.

xx

xxx

xxx

3 3333

Wingspans (in feet)

12

14

18

38

1. Which shows the equation for the total wingspan of the 8 birdsmeasured tip-to-tip?

A ( 3 1 _ 4 × 3 ) + ( 3 1 _ 8 × 1 ) + ( 3 1 _ 2 × 4 ) = 25 7 _ 8

B ( 3 1 _ 4 × 1 ) + ( 3 1 _ 8 × 1 ) + ( 3 1 _ 2 × 3 ) = 25 7 __ 8

C ( 3 1 __ 8 × 3 ) + ( 3 1 _ 4 × 4 ) + ( 3 1 _ 2 × 1 ) = 25 7 __

8

D ( 3 1 __ 8 × 4 ) + ( 3 1 _ 4 × 3 ) + ( 3 1 _ 2 × 1 ) = 25 7 __

8

2. What equation shows the difference between the greatest wingspanand the least wingspan?

A 25 7 __ 8 − 3 1 __

8 = 22 3 __

4

B 3 1 __ 2 − 3 1 __

4 = 1 __

4

C 3 1 __ 8 + 3 1 __

2 = 6 5 __

8

D 3 1 __ 2 − 3 1 __

8 = 3 __

8

3. WritingtoExplain If 3 falcons with the same wingspan are rescued by the group and the total wingspan is now 34 7 __

8 feet,

what is the wingspan of each new falcon? Show your work.

Q 14•4

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1. �Some�dinosaur�fossils�are�about�two�hundred�thirty�million�years�old.�Which�is�this�number�in�standard�form?

A 230,000

B 200,030

C ��200,030,000

D 230,000,000

2. �Which�figure�has�no�lines�of�symmetry?�

A

B

C

D

3. �What�missing�information�do�you�need�to�solve�the�following�problem?�Ben�rode�the�longest�roller�coaster�three�times.�How�far�did�he�travel�on�the�roller�coaster?

A �Where�the�roller�coaster�is�located

B How�much�a�ticket�costs

C How�long�one�ride�is

D How�many�people�he�rode�with

�Use�the�table�for�Questions�4�and�5.

LongRollerCoastersDesperado 5,843�feetGao 5,692�feetSteel�Force 5,600�feet

4. �To�find�out�how�much�longer�the�Desperado�is�than�the�Gao,�solve�the�equation�5,692�+�n�=�5,843.

A 150

B 151

C 152

D 153

5. �About�how�far�would�you�travel�if�you�rode�each�roller�coaster�two�times?�Explain�how�you�decided.

D 14•5

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5 10 15 20 25 30 35 40 45 500

Cindy’s Errands

Tota

l Dis

tance

Tra

vele

d(n

um

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of

blo

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Time (number of minutes)

A

B CD

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Practice

14-5Problem Solving: Writing to ExplainFor 1 through 5, use the graph below. The graph shows Cindy’s errands.

1. Look at the coordinates at Point A. What does Point A represent?

2. What does Point B represent?

3. What do you think happened between Points B and C?

4. Which of the following statements is supported by the graph?

A Ten minutes occurred between Points B and C.

B Cindy stopped for different amounts of time.

C Cindy spent more time stopping than walking.

D Cindy traveled 8 blocks in 30 minutes.

5. Write a complete story to match the data from the graph.

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10

9

8

7

6

5

4

3

2

1

5 10 15 20 25 30 35 40 45 500

Sam and Jake’sBike Trip

Dis

tance

fro

m J

ak

e’s

House

(blo

cks)

Time (minutes)

A

B C

D

E

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y

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Quick Check

14-5

Sam and Jake are riding their bikes around the neighborhood. They begin at Point A, Sam’s house. The graph shows their trip. Use the graph to answer Questions 1 through 4.

1. What is happening in the journey from Points A to B?

A Sam and Jake have traveled for 20 minutes.

B Sam and Jake have traveled for 10 minutes.

C Sam and Jake have traveled toward Jake’s house.

D Sam and Jake have traveled away from Jake’s house.

2. Between which two points did Sam and Jake stop?

A Points D and E

B Points C and D

C Points B and C

D Points A and B

3. How many minutes did it take Sam and Jake to travel from Point A to Point E ?

A 5 minutes

B 20 minutes

C 35 minutes

D 50 minutes

4. WritingtoExplain Write a story that matches the graph. Explain what is happening at each point.

Q 14•5

Topic 14

DATA

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Name

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Test Date

Documents

Topic 14 DATA - Mrs. Stephanie Evans Class Website · D 20 4. Writing to Explain For one week, Consuela kept a log of the number of pages she read each night. She read 8 pages on